The First Survey for Abilities of Wavelets in Solving Optimal Control Problems by Embedding Methods

Authors

  • Alireza Fakharzadeh
  • Seid Abulfazl Ghasemiyan
  • Abdoljabbar Badiozzaman

DOI:

https://doi.org/10.30495/jme.v0i0.28

Keywords:

multiresolution analysis, wavelet, Radon measure, linear programming, optimal control.

Abstract

By a brief review on the applications of wavelets in solving optimal control problems, a multiresolution analysis for two dimensional Sobolev spaces and the square spline wavelets are considered. Regarding the density and approximation properties of these wavelets, for the ¯rst time, they are employed for solving optimal control problems by embedding method. Existence and the determination way for the solution are also discussed. Finally, the abilities of the new approach are explained by a numerical example and some comparisons.

Author Biographies

Alireza Fakharzadeh

Department of Mathematics Shiraz University of Technology Shiraz, Iran.

Seid Abulfazl Ghasemiyan

Department of Mathematics Islamic Azad University-Ramhormoz Branch

Abdoljabbar Badiozzaman

Department of Mathematics Shahid Chamran University of Ahvaz Ahvaz, Iran

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Published

2007-01-02

Issue

Vol 1 (2006-2007)

Section

Vol. 1, No. 2, (2007)

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